| Abstract: |
| This talk will present recent results on the 3D stochastic primitive equations. In particular, we show that the system is nearly uniquely ergodic in the sense that the limit resonant system in the infinite rotation limit is uniquely ergodic and the law of the finite rotation system converges in probability to the law of the limit resonant system on any finite time horizon. The passage of limits is facilitated by weak moment bounds, an averaging procedure developed by Flandoli and Mahalov, as well as a stochastic control argument to establish the existence of a spectral gap. |
|